- Particle Of Mass 9 Kg Is Attached To Two Identical Springs The Other Ends Of The Springs Are Tached To Fixed Points 1 (79.72 KiB) Viewed 28 times
- Particle Of Mass 9 Kg Is Attached To Two Identical Springs The Other Ends Of The Springs Are Tached To Fixed Points 2 (45.64 KiB) Viewed 28 times
particle, of mass 9 kg, is attached to two identical springs. The other ends of the springs are tached to fixed points, A and B, which are 1.2 metres apart on a smooth horizontal surface. The brings have modulus of elasticity 45 N and natural length 0.4 m. ne particle is released from rest at a distance of 0.5 metres from B and moves on the line AB. he midpoint of AB is C. At time t seconds after release, the displacement of the particle om C is x metres, where the direction from A to B is taken to be positive. X M 1 W WWW. Figure A С B ) Show that the resultant force on the particle, at time t, is -225x newtons. (4) ) Hence show that the particle moves with simple harmonic motion. (2) =) State the period of this motion. (2)
Find the speed of the particle when it is 0.05 metres from C. (4) Write down an onronni disc of mass M = 2 kg, and radius R = 20 cm is connected to a spring at a point at a listance r = 10 cm from the centre and a spring constant k = 20 N/m. Find the period of the small oscillations. The moment of inertia of the disc is I = MR2. The small mass has n = 1 kg. num M R Figure 4 0